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Finding the Fourth Proportional to 20,872.80, 28,818.72 and 14,587.20

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Solution

The fourth proportional to 20,872.80, 28,818.72 and 14,587.20 is: 20,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.80 : 28,818.72 = 14,587.20 : x
  2. Step 2: Convert to fraction form
    20,872.80/28,818.72 = 14,587.20/x
  3. Step 3: Cross multiply
    20,872.80x = 28,818.72 × 14,587.20
  4. Step 4: Simplify right side
    20,872.80x = 420,384,432.38
  5. Step 5: Solve for x
    x = 420,384,432.38/20,872.80
  6. Step 6: Final answer
    x = 20,140.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.